Question

The floor of a large ware house is rectangular in shape and its length is twice as long as its width. The area of the floor of the warehouse is 39,200 square feet. What is the length of the floor of the warehouse in feet?

Answer 1

The length of the warehouse is 280 feet.

Explanation:

Let A be the area of the warehouse floor, W be its width, and L be its length.

A = W * L

We know that the length is twice the width:

L = 2W

Substitute the second equation into the first equation and we get:

A = 2W * W

Solve for W (A = 39200):

39200 = 2W * W

39200 = 2W²

19600 = W²

W = 140

Plug that number into the second equation to get the length:

L = 2 * 140

L = 280

So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²